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Finding the Third Proportional to 7,464.75 and 14,929.13

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Solution

The third proportional to 7,464.75 and 14,929.13 is: 29,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.75 : 14,929.13 = 14,929.13 : x
  2. Step 2: Convert to fraction form
    7,464.75/14,929.13 = 14,929.13/x
  3. Step 3: Cross multiply
    7,464.75x = 14,929.13 × 14,929.13
  4. Step 4: Simplify right side
    7,464.75x = 222,878,773.27
  5. Step 5: Solve for x
    x = 222,878,773.27/7,464.75
  6. Step 6: Final answer
    x = 29,857.50

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.